论文标题

准模式的异常衰减率

Anomalous decay rate of quasinormal modes

论文作者

Lagos, Macarena, Ferreira, Pedro G., Tattersall, Oliver J.

论文摘要

大规模标量场的准模式的衰减时间尺度具有有趣的行为:它们要么随着角度谐波数量$ \ ell $的增加而衰减,要么衰减,具体取决于标量场的质量是很小还是大。我们确定导致这种行为并详细表征标量场的有效电位的特性。如果标量场是非最小耦合的,则在此处考虑,则标量准模式将泄漏到重力波信号中,并且比通常相对论中典型的衰减时间可比或小。因此,将来可以检测到这些模式。最后,我们发现,除了简单的大规模标量场之外,较大的模型类别中存在衰减时间尺度中的异常行为。

The decay timescales of the quasinormal modes of a massive scalar field have an intriguing behavior: they either grow or decay with increasing angular harmonic numbers $\ell$, depending on whether the mass of the scalar field is small or large. We identify the properties of the effective potential of the scalar field that leads to this behavior and characterize it in detail. If the scalar field is non-minimally coupled, considered here, the scalar quasinormal modes will leak into the gravitational wave signal and will have decaying times that are comparable or smaller than those typical in General Relativity. Hence, these modes could be detectable in the future. Finally, we find that the anomalous behavior in the decay timescales of quasinormal modes is present in a much larger class of models beyond a simple massive scalar field.

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